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Diano4ka-milaya [45]
3 years ago
10

If you remove the last digit (one’s place) from a 4-digit whole number, the resulting number is a factor of the 4-digit number.

How many such 4-digit numbers are present?
Mathematics
1 answer:
shutvik [7]3 years ago
6 0

Answer:

  900

Step-by-step explanation:

We assume that your 4-digit number must be in the range 1000 to 9999. Clearly, any number ending in zero will meet your requirement:

  1000/100 = 10

  3890/389 = 10

However, the requirement cannot be met when the 1s digit is other than zero.

__

For some 3-digit number N and some 1s digit x, the 4-digit number will be

  4-digit number: 10N+x

Dividing this by N will give ...

  (10N+x)/N = 10 remainder x

N will only be a factor of 10N+x when x=0.

So, there are 900 4-digit numbers that meet your requirement. They range from 1000 to 9990.

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Nate works at least 4 hours but not more than 9 hours. He earns $12.40 per hour. The function f(t) = 12.4t represents the amount
Mashcka [7]

The practical domain is all real numbers from 4 to 9, inclusive.

The practical range is all real numbers from 49.6 to 111.6, inclusive.

These are the correct options.

Explanation:

Given function is f(t) = 12.4t

Let us assume that Nate works 'x' hours so 4<x<9

And multiplying the hours with his earnings we get the range.

4*12.40=49.6 and 9*12.40=111.6. Let the amount earned be represented by y

Hence, domain can be represented as 4<x<9 and range can be represented as  49.6 < y < 111.6

7 0
3 years ago
What is 1/5 of 11? This is so annoying!
Nutka1998 [239]

\dfrac{1}{5}\ of\ 11:\\\\\dfrac{1}{5}\cdot11=\dfrac{11}{5}=\dfrac{10+1}{5}=\dfrac{10}{5}+\dfrac{1}{5}=\boxed{2\dfrac{1}{5}}

6 0
3 years ago
What’s the gcf of 18k and 15k cubed?
Contact [7]

Answer:

The GCF for the variable part is  

k

Step-by-step explanation:

Since  

18

k

,

15

k

3

contain both numbers and variables, there are two steps to find the GCF (HCF). Find GCF for the numeric part then find GCF for the variable part.

Steps to find the GCF for  

18

k

,

15

k

3

:

1. Find the GCF for the numerical part  

18

,

15

2. Find the GCF for the variable part  

k

1

,

k

3

3. Multiply the values together

Find the common factors for the numerical part:

18

,

15

The factors for  

18

are  

1

,

2

,

3

,

6

,

9

,

18

.

Tap for more steps...

1

,

2

,

3

,

6

,

9

,

18

The factors for  

15

are  

1

,

3

,

5

,

15

.

Tap for more steps...

1

,

3

,

5

,

15

List all the factors for  

18

,

15

to find the common factors.

18

:  

1

,

2

,

3

,

6

,

9

,

18

15

:  

1

,

3

,

5

,

15

The common factors for  

18

,

15

are  

1

,

3

.

1

,

3

The GCF for the numerical part is  

3

.

GCF

Numerical

=

3

Next, find the common factors for the variable part:

k

,

k

3

The factor for  

k

1

is  

k

itself.

k

The factors for  

k

3

are  

k

⋅

k

⋅

k

.

k

⋅

k

⋅

k

List all the factors for  

k

1

,

k

3

to find the common factors.

k

1

=

k

k

3

=

k

⋅

k

⋅

k

The common factor for the variables  

k

1

,

k

3

is  

k

.

k

The GCF for the variable part is  

k

.

GCF

Variable

=

k

Multiply the GCF of the numerical part  

3

and the GCF of the variable part  

k

.

3

k

3 0
3 years ago
Lin's father is paying for a $20 meal. He has a 15%-off for the meal. After the discount, a 7% sales tax is applied. What does L
MissTica

Answer:

18.19

Step-by-step explanation:

$20-15%=$17

$17+7%=18.19

6 0
3 years ago
What is the inverse of the function y = -8x + 15?
Softa [21]

Answer:

c) ( x-15)/-8

Step-by-step explanation:

c) (x-15) / -8

7 0
3 years ago
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